TRANSLATING ENGLISH TO MATH
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TRANSLATING
ENGLISH TO MATH
SJC ~ San Jacinto Campus
Math Center Workshop Series
Janice Levasseur
• One of the major skills required in
mathematics is the ability to translate a
verbal statement into a mathematical
(variable) expression or equation.
• This ability requires recognizing the verbal
phrases that translate into mathematical
operations.
Addition
•
•
•
•
•
•
Added to
(the sum of)
(the total of)
Increased by
Plus
More than
Note: The sum is the answer to an addition
problem. “The sum of x and y” (x + y)
Subtraction
•
•
•
•
•
•
Subtracted from
(the difference between)
Less
Decreased by
Minus
Less than
Note: The difference is the answer to a subtraction.
“The difference between x and y” (x – y)
Multiplication
•
•
•
•
•
Times
The product of
Multiplied by
Of
Twice
Note: The product is the answer to a multiplication
problem. “The product of x and y” (x)(y)
Division
• Divided by
• The quotient of
• The ratio of
Note: The quotient is the answer to a division
problem. “The quotient of x and y” x .
y
Power
• The square of
• The cube of
exponent 2
exponent 3
Equals
• Equals
• Is/Are/Was/Were
• Amounts to
Note: These lists are not complete.
Translate the following verbal
expressions into variable expressions:
Ex: y added to sixteen
What is the operation?
Addition
What is being added?
y and 16
Write the expression:
y + 16
Ex: the sum of b and eight
What is the operation?
Addition
What is being added?
b and 8
Write the expression:
(b + 8)
Ex: the total of four and m
What is the operation?
Addition
What is being added?
4 and m
Write the expression:
(4 + m)
Ex: w increased by fifty-five
What is the operation?
Addition
What is being added?
w and 55
Write the expression:
w + 55
Ex: g plus twenty
What is the operation?
Addition
What is being added?
g and 20
Write the expression:
g + 20
Ex: nineteen more than K
What is the operation?
Addition
What is being added?
19 and K
Write the expression:
K + 19
Can also by written as:
19 + K
Ex: n subtracted from two
What is the operation?
Subtraction
What is being subtracted?
n and 2
Write the expression (careful!):
2–n
Subtraction does not possess
the commutative property so
order is important. There is a
difference between what goes
in front of the subtraction sign
(the minuend) and what goes
after (the subtrahend).
Ex: the difference of q and three
What is the operation?
Subtraction
What is being subtracted?
q and 3
Write the expression (careful!):
(q – 3)
Ex: r less twelve
What is the operation?
Subtraction
What is being subtracted?
r and 12
Write the expression (careful!):
r – 12
Ex: seventeen decreased by m
What is the operation?
Subtraction
What is being subtracted?
17 and m
Write the expression (careful!):
17 – m
Ex: w minus 3
What is the operation?
Subtraction
What is being subtracted?
w and 3
Write the expression (careful!):
w–3
Ex: nineteen less than d
What is the operation?
Subtraction
What is being subtracted?
19 and d
Write the expression (careful!):
d – 19
Subtraction does not possess
the commutative property so
order is important. There is a
difference between what goes
in front of the subtraction sign
(the minuend) and what goes
after (the subtrahend).
Ex: nine times c
What is the operation?
Multiplication
What is being multiplied?
9 and c
Write the expression:
9c
Ex: the product of negative six and b
What is the operation?
Multiplication
What is being multiplied?
-6 and b
Write the expression:
-6b
Ex: five multiplied by a number
What is the operation?
Multiplication
What is being multiplied?
5 and n
Write the expression:
5n
Ex: fifteen precent of the selling price
What is the operation?
What is being multiplied?
Write the expression:
Multiplication
15% and p
.15p
Ex: twice a number
What is the operation?
What is being multiplied?
Write the expression:
Multiplication
2 and n
2n
Ex: the square of a number
What is the operation?
Multiplication
What is being multiplied?
n and n
Write the expression:
n2
